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Simplifying -6(u + 1) = 5u + 49 Reorder the terms: -6(1 + u) = 5u + 49 (1 * -6 + u * -6) = 5u + 49 (-6 + -6u) = 5u + 49 Reorder the terms: -6 + -6u = 49 + 5u Solving -6 + -6u = 49 + 5u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-5u' to each side of the equation. -6 + -6u + -5u = 49 + 5u + -5u Combine like terms: -6u + -5u = -11u -6 + -11u = 49 + 5u + -5u Combine like terms: 5u + -5u = 0 -6 + -11u = 49 + 0 -6 + -11u = 49 Add '6' to each side of the equation. -6 + 6 + -11u = 49 + 6 Combine like terms: -6 + 6 = 0 0 + -11u = 49 + 6 -11u = 49 + 6 Combine like terms: 49 + 6 = 55 -11u = 55 Divide each side by '-11'. u = -5 Simplifying u = -5
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